论文标题
离散频谱和共振如何影响TODA冲击波的渐近学
How Discrete Spectrum and Resonances Influence the Asymptotics of the Toda Shock Wave
论文作者
论文摘要
我们严格地在中部区域中逐渐有限的缝隙中的中部区域中得出了TODA冲击波的长期渐近造型。特别是，我们描述了光谱差距中离散光谱对本溶液中theta功能表示中相位移位的影响。我们还研究了此阶段间隙端点处可能的共振的效果。本文是[ARXIV：2001.05184]的研究延续。
We rigorously derive the long-time asymptotics of the Toda shock wave in a middle region where the solution is asymptotically finite gap. In particular, we describe the influence of the discrete spectrum in the spectral gap on the shift of the phase in the theta-function representation for this solution. We also study the effect of possible resonances at the endpoints of the gap on this phase. This paper is a continuation of research started in [arXiv:2001.05184].
